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Video tutorials - CAT (entrance exam) Quantitative Ability: Functions

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Subject:   Quantitative Ability
Topic:   Functions

shaalaa.com | Types of sets : Finite Set, Infinite Set, Singleton Set and Null set

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Types of sets : Finite Set, Infinite Set, Singleton Set and Null set [00:08:00]
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Description

  • Roster form, Set builder form.
  • Types of sets-Null set, Finite infinite sets, cardinaity of a set, singleton sets, equal sets, Subsets, supersets, power set, universal set.
  • Set operations- union intersection, division and difference of sets, Complement of a set, Symmetric difference of two sets, Cartesian product of sets
  • Relations- domain and range of relations, Inverse of a relation.
  • Functions- One-one function, many-one function, Onto function, Into function, Bijection, Constant function, Identity Function, Inverse Function, Composition of functions, real Functions, Explicit implicit functions, even and odd functions, periodic functions, Increasing decreasing functions, Polynomial functions, modulus functions, Signum functions, Trigonometric functions, Functional equations.
  • Graphs
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